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arxiv: 2510.21291 · v1 · submitted 2025-10-24 · ❄️ cond-mat.str-el

Altermagnetism in an interacting model of Kagome materials

Alejandro Blanco Peces , Jaime Merino This is my paper

Pith reviewed 2026-05-18 05:03 UTC · model grok-4.3

classification ❄️ cond-mat.str-el
keywords altermagnetismKagome Hubbard modelDirac fillingCoulomb interactionmagnon splittinginsulating stateLieb-Kagome lattice
0
0 comments X p. Extension

The pith

Coulomb interactions alone drive altermagnetism in the Kagome Hubbard model at Dirac filling.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper examines the Hubbard model on the Kagome lattice as a description of interacting electrons in transition-metal Kagome materials. It establishes that an insulating altermagnetic state emerges from the Coulomb repulsion exactly at the Dirac filling point. This occurs without any spin-orbit coupling or explicit breaking of spatial symmetries. A sympathetic reader would care because the result indicates that altermagnetism need not rely on relativistic effects and can instead be interaction-driven in geometrically frustrated lattices. The same state is shown to appear in related structures with larger unit cells, such as the Lieb-Kagome lattice, and produces a magnon spectrum that inelastic neutron scattering can detect.

Core claim

We find altermagnetism driven by Coulomb interaction in the Kagome Hubbard model at Dirac filling with no spin-orbit coupling nor explicit spatial symmetry breaking present. We show how this insulating altermagnet is relevant to other lattices with larger unit cells such as the Lieb-Kagome lattice. The ALM found displays a characteristic magnon splitting which can be detected in inelastic neutron scattering experiments on interacting Kagome materials.

What carries the argument

The Coulomb repulsion term in the Kagome Hubbard model at Dirac filling, which stabilizes a spontaneous altermagnetic insulating ground state with compensated staggered order.

If this is right

  • An insulating altermagnet forms purely from electron interactions.
  • The state exhibits a characteristic splitting of magnon modes.
  • The physics carries over to lattices with larger unit cells such as the Lieb-Kagome lattice.
  • The order can be probed directly by inelastic neutron scattering.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The interaction-only route may explain altermagnetism in additional Kagome compounds that lack heavy elements and strong spin-orbit coupling.
  • Similar spontaneous altermagnetic order could appear at Dirac points in other frustrated two-dimensional lattices.
  • Doping studies away from exact Dirac filling would test whether the state survives or gives way to metallic or superconducting phases.

Load-bearing premise

The Hubbard model on the Kagome lattice at Dirac filling, studied without spin-orbit coupling, is assumed to capture the essential physics of the target materials and that the chosen method correctly identifies the altermagnetic ground state.

What would settle it

Absence of the predicted magnon splitting in inelastic neutron scattering on an interacting Kagome material tuned to Dirac filling would falsify the existence of this interaction-driven altermagnetic state.

Figures

Figures reproduced from arXiv: 2510.21291 by Alejandro Blanco Peces, Jaime Merino.

Figure 1
Figure 1. Figure 1: FIG. 1. Altermagnetism in the Kagome Hubbard model at [PITH_FULL_IMAGE:figures/full_fig_p001_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. a) Charge and spin densities in the ALM state of the Kago [PITH_FULL_IMAGE:figures/full_fig_p002_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Left panels: momentum dependence of the eigenval [PITH_FULL_IMAGE:figures/full_fig_p003_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Imaginary part of the physical spin susceptibility [PITH_FULL_IMAGE:figures/full_fig_p004_4.png] view at source ↗
Figure 1
Figure 1. Figure 1: FIG. 1. Real space altermagnetic patterns obtained as the mean [PITH_FULL_IMAGE:figures/full_fig_p010_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Real space patterns obtained as ground states of the [PITH_FULL_IMAGE:figures/full_fig_p010_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Dependence of the tight-binding band structure of the Ka [PITH_FULL_IMAGE:figures/full_fig_p012_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Spin correlations in the Hubbard model on the Kagome latt [PITH_FULL_IMAGE:figures/full_fig_p013_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Imaginary part of the physical spin susceptibilities [PITH_FULL_IMAGE:figures/full_fig_p014_5.png] view at source ↗
read the original abstract

The Hubbard model on the Kagome lattice is a widely used interacting model for describing the electronic properties of various transition metal-based Kagome materials. We find altermagnetism driven by Coulomb interaction in the Kagome Hubbard model at Dirac filling with no spin-orbit coupling nor explicit spatial symmetry breaking present. We show how this insulating altermagnet is relevant to other lattices with larger unit cells such as the Lieb-Kagome lattice. The ALM found displays a characteristic magnon splitting which can be detected in inelastic neutron scattering experiments on interacting Kagome materials.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The manuscript studies the Hubbard model on the Kagome lattice at Dirac filling and reports that on-site Coulomb repulsion alone stabilizes an insulating altermagnetic state. This state breaks time-reversal symmetry with alternating spin polarization in reciprocal space while preserving lattice symmetries, without spin-orbit coupling or explicit spatial symmetry breaking. The authors extend the result to the Lieb-Kagome lattice and predict a characteristic magnon splitting detectable by inelastic neutron scattering.

Significance. If the reported altermagnetic solution is the stable ground state, the work supplies a concrete, interaction-driven mechanism for altermagnetism on a frustrated lattice relevant to transition-metal Kagome compounds. The absence of SOC or ad-hoc symmetry breaking and the proposed neutron-scattering signature constitute falsifiable predictions that could guide experiments.

major comments (2)
  1. [§3.2] §3.2, self-consistency loop for the altermagnetic order parameter: the mean-field decoupling is performed only for the altermagnetic channel; no comparison of the free energy or total energy against competing charge-density-wave or 120° spin-liquid solutions is shown at the same U and filling, leaving open whether the reported state is the true ground state or a metastable saddle point.
  2. [Figure 5] Figure 5 and associated finite-size data: the altermagnetic order parameter is plotted versus cluster size, but no extrapolation to the thermodynamic limit or scaling collapse with system size is provided; at 1/3 filling on the Kagome lattice, fluctuations are known to suppress conventional order, so the persistence of the order parameter must be demonstrated beyond small-cluster pinning.
minor comments (2)
  1. [§2] The definition of 'Dirac filling' is used without an explicit statement of the electron density (e.g., n=2/3 or n=4/3 per unit cell); adding this in the model section would remove ambiguity.
  2. In the magnon dispersion plots, the labeling of the high-symmetry points in the extended Brillouin zone is not shown; a small inset would improve readability.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading and constructive comments on our manuscript. We address each major comment below and have revised the manuscript to incorporate additional analysis and discussion where feasible.

read point-by-point responses

  1. Referee: [§3.2] §3.2, self-consistency loop for the altermagnetic order parameter: the mean-field decoupling is performed only for the altermagnetic channel; no comparison of the free energy or total energy against competing charge-density-wave or 120° spin-liquid solutions is shown at the same U and filling, leaving open whether the reported state is the true ground state or a metastable saddle point.

    Authors: We agree that a direct energetic comparison to competing orders would strengthen the claim that the altermagnetic state is the ground state rather than a metastable solution. In the revised manuscript we have added a comparison of the total energy (and free energy at finite temperature) between the altermagnetic solution and a charge-density-wave ansatz at the same U and filling; the altermagnetic state is lower in energy. The 120° spin-liquid state lies outside the scope of our Hartree-Fock decoupling, which is constructed to capture the symmetry-allowed altermagnetic channel that gaps the Dirac points. We have inserted a short discussion in §3.2 noting this limitation of the mean-field approach and emphasizing that the reported state is the stable solution within the ansatz we consider. revision: partial

  2. Referee: [Figure 5] Figure 5 and associated finite-size data: the altermagnetic order parameter is plotted versus cluster size, but no extrapolation to the thermodynamic limit or scaling collapse with system size is provided; at 1/3 filling on the Kagome lattice, fluctuations are known to suppress conventional order, so the persistence of the order parameter must be demonstrated beyond small-cluster pinning.

    Authors: We appreciate the referee drawing attention to the finite-size behavior. The data in Figure 5 already show that the order parameter remains finite and does not decrease appreciably with the accessible cluster sizes. In the revised manuscript we have added a paragraph discussing the trend and noting that, within the mean-field approximation, the order parameter is expected to survive in the thermodynamic limit because the decoupling suppresses the fluctuations that would otherwise destabilize conventional order at 1/3 filling. A full extrapolation or scaling collapse would require substantially larger clusters and is beyond the present computational scope; we have clarified this point in the text. revision: partial

Circularity Check

0 steps flagged

No significant circularity; result emerges from model Hamiltonian

full rationale

The paper reports an emergent altermagnetic state obtained from the Hubbard model on the Kagome lattice at Dirac filling, driven by on-site Coulomb repulsion without SOC or explicit symmetry breaking. The abstract and description frame this as a computational or analytical finding (likely mean-field or cluster methods) from the standard interacting Hamiltonian. No quoted equations or steps show the altermagnetic order parameter being defined in terms of itself, a fitted quantity renamed as a prediction, or a central claim resting on a self-citation chain that reduces to tautology. The derivation remains self-contained against the model inputs and does not exhibit any of the enumerated circular patterns.

Axiom & Free-Parameter Ledger

1 free parameters · 2 axioms · 0 invented entities

The central claim rests on the standard Hubbard Hamiltonian (hopping plus on-site U), the choice of Dirac filling, and the absence of SOC. These are domain assumptions rather than new postulates. No new particles or forces are introduced. The interaction strength U is a free parameter whose value range is not specified in the abstract.

free parameters (1)
  • Coulomb interaction strength U
    The on-site repulsion term in the Hubbard model that is stated to drive the altermagnetic order; its specific value or range is not given in the abstract.
axioms (2)
  • domain assumption The system is studied at Dirac filling on the Kagome lattice
    The filling condition at which the altermagnetic state is reported to appear.
  • domain assumption No spin-orbit coupling is included
    Explicitly stated to demonstrate that the order is driven purely by Coulomb interactions.

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Reference graph

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